Boundary of nuclear material sample

  • #1
shivakumar06
69
0
we know that the full life of radioactive sample is infinity.
and if we take one radioactive atom in the sample then it's full is measurable and short. it changes when when it emits sub atomic particles. which contradict each other.
we need to know more. the dimension of radioactive constant λ raises an other question.
here N=N0eλt the is on of e so what is the dimension of λ.
 

Answers and Replies

  • #2
Astronuc
Staff Emeritus
Science Advisor
21,001
5,058
we know that the full life of radioactive sample is infinity.
and if we take one radioactive atom in the sample then it's full is measurable and short. it changes when when it emits sub atomic particles. which contradict each other.
we need to know more. the dimension of radioactive constant λ raises an other question.
here N=N0eλt the is on of e so what is the dimension of λ.

λ is the decay constant with units if inverse time. If time t is in seconds, then λ is sec-1.

N(t) = N0 exp(-λt)

The decay constant is also the inverse of the mean lifetime of the decaying species.
 
  • #3
QuantumPion
Science Advisor
Gold Member
902
42
we know that the full life of radioactive sample is infinity.
and if we take one radioactive atom in the sample then it's full is measurable and short. it changes when when it emits sub atomic particles. which contradict each other.
we need to know more. the dimension of radioactive constant λ raises an other question.
here N=N0eλt the is on of e so what is the dimension of λ.

There is no such thing as "full life", as such a quantity would depend on the sample size and not the properties of the material. But if you wanted to, you could define the "full-life" of a sample as the number of half lives required before you are left with a single atom. This "full-life" would not be infinity, in fact the value would be equal to approximately 79 half lives per mol of material (Na/2^79 ~= 1).
 
  • #4
36,250
13,308
Radioactive decay is a stochastic process (at least for all observers). You can give an expectation value (and a distribution function) for the time until all atoms decayed, but the time in an experiment will be random.
 

Suggested for: Boundary of nuclear material sample

  • Last Post
Replies
3
Views
729
Replies
24
Views
1K
Replies
2
Views
650
  • Last Post
Replies
12
Views
831
Replies
1
Views
427
Replies
4
Views
941
Replies
1
Views
457
Replies
26
Views
4K
  • Last Post
Replies
1
Views
823
  • Last Post
Replies
11
Views
1K
Top